What is the Greatest Common Factor of 99390 and 99408?

Greatest common factor (GCF) of 99390 and 99408 is 6.

GCF(99390,99408) = 6

We will now calculate the prime factors of 99390 and 99408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99390 and 99408.

How to find the GCF of 99390 and 99408?

We will first find the prime factorization of 99390 and 99408. After we will calculate the factors of 99390 and 99408 and find the biggest common factor number .

Step-1: Prime Factorization of 99390

Prime factors of 99390 are 2, 3, 5, 3313. Prime factorization of 99390 in exponential form is:

99390 = 2¹ × 3¹ × 5¹ × 3313¹

Step-2: Prime Factorization of 99408

Prime factors of 99408 are 2, 3, 19, 109. Prime factorization of 99408 in exponential form is:

99408 = 2⁴ × 3¹ × 19¹ × 109¹

Step-3: Factors of 99390

List of positive integer factors of 99390 that divides 99390 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3313, 6626, 9939, 16565, 19878, 33130, 49695

Step-4: Factors of 99408

List of positive integer factors of 99408 that divides 99390 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 109, 114, 152, 218, 228, 304, 327, 436, 456, 654, 872, 912, 1308, 1744, 2071, 2616, 4142, 5232, 6213, 8284, 12426, 16568, 24852, 33136, 49704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99390 and 99408. The biggest common factor number is the GCF number.
So the greatest common factor 99390 and 99408 is 6.

Also check out the Least Common Multiple of 99390 and 99408